Open AccessA phenomenological theory-based viscosity model for shear thickening fluids
Author(s) -
Kun Lin,
Jiapeng Qi,
Hongjun Liu,
Minghai Wei,
Hua Yi Peng
Publication year - 2021
Publication title -
materials research express
Language(s) - English
Resource type - Journals
ISSN - 2053-1591
DOI - 10.1088/2053-1591/ac46e4
Subject(s) - dilatant , viscosity , phenomenological model , shear rate , shear (geology) , thermodynamics , materials science , shear viscosity , apparent viscosity , shear thinning , mechanics , composite material , mathematics , physics , statistics
A viscosity model for shear thickening fluids (STFs) based on phenomenological theory is proposed. The model considers three characteristic regions of the typical material properties of STFs: a shear thinning region at low shear rates, followed by a sharp increase in viscosity above the critical shear rate, and subsequently a significant failure region at high shear rates. The typical S-shaped characteristic of the STF viscosity curve is represented using the logistic function, and suitable constraints are applied to satisfy the continuity of the viscosity model. Then, the Levenberg–Marquardt algorithm is introduced to fit the constitutive model parameters based on experimental data. Verification against experimental data shows that the model can predict the viscosity behavior of STF systems composed of different materials with different mass concentrations and temperatures. The proposed viscosity model provides a calculation basis for the engineering applications of STFs (e.g., in increasing impact resistance and reducing vibration).